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盾构管片结构设计算例
A Design of Shield Tunnel Lining
Part One: Design Data
(1) Function of Tunnel
The planned tunnel is to be used as a subway tunnel.
(2) Design Conditions
Dimensions of Segment
Type of segment: RC, Flat type
Diameter of segmental lining: D0=9500mm
Radius of centroid of segmental lining: Rc=4550mm
Width of segment: b=1200mm
Thickness of segment: t=400mm
Ground Conditions
Overburden: H=12.3m
Groundwater table: G.L.+0.6m =12.3+0.6=12.9m
N Value: N=50
Unit weight of soil: =18kN/m3
Submerged unit weight of soil: =8kN/m3
Angle of internal friction of soil: =30o
Cohesion of soil: c=0 kN/m2
Coefficient of reaction: k=50MN/m3
Coefficient of lateral earth pressure: =0.4
Surcharge: P0=39.7kN/m2
Soil condition: Sandy
Materials
The grade of concrete: C30
Nominal strength: fck=20.1N/mm2
Allowable compressive strength: fc=14.3N/mm2
Allowable tensile strength: ft=1.43N/mm2
Elastic modules: E=3.0×104N/mm2
The type of steel bars: HRB335
Allowable strength: fy= fy’= 300N/mm2
Bolt
Yield strength: fBy=240N/mm2
Shear strength: =150N/mm2
Parameters for joint spring:
18070 (if inside part of lining is tensile)
32100 (if outside part of lining is tensile)
Design Method
How to compute member forces?
Force method (Part Two) and Elastic equation method (Part Three) are used respectively to calculate member forces.
How to check the safety of lining?
Limit state method based on the national code GB50010-2002 is used to check the safety of lining.
(3) Geometric Design of Shield Lining
The shield lining is fitted with 9 segmental pieces (one Key-type segment, two B-type segments and six other segments) as shown in Figure 1. Central angle of each segment piece is 40 degrees.
Figure 1 The cross section of the shield lining
Part Two: Computation by Force Method
(1) Load Conditions
Judgment of Tunnel Type (by Terzaghi’s formula)
Figure 2 Judgment of tunnel type
So the designed tunnel is a shallow tunnel.
Load Types and Partial Factors
Table 1 shows the loads should be considered in the
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